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Scheduling Control And Fault Detection For Nonlinear Jump Systems

Posted on:2014-11-25Degree:DoctorType:Dissertation
Country:ChinaCandidate:Y Y YinFull Text:PDF
GTID:1268330401955061Subject:Control theory and control engineering
Abstract/Summary:PDF Full Text Request
In practice, many enginerring systems often exhibit random abrupt changes due to factors,such as environment changes or disturbances. These abrupt changing phenomena areobserved in many real practical systems, such as network systems, communication systems,and economic systems. They can be modelled as Markov jump systems. Furthermore, for areal practical problem, it is unrealistic to model it as a pure linear system because of factors,such as disturbances and possible input saturation. Thus, an accurate model of a real practicalcontrol problem tends to be complex and nonlinear. Therefore, the study of nonlinear Markovjump systems is both theoretically challenging and practically significant.In this thesis, our concerns are on stability, control, filtering and fault detection problemsinvolving nonlinear Markov jump systems are being considered.The main contributions of the thesis are given below:(i) PI tracking and filtering problems involving time delay nonlinear Markov jumpsystems are considered, using gain-scheduling approach. This tracking controller willensure the convergence of the tracking error. For cycle-neutral system, a filtering isrealised by taking the time as a scheduling variable such that the convergence of thefiltering error is achieved.(ii) Finite time control problem, where the state of the nonlinear Markov jump systemis either measurable or unmeasurable. Based on the finite time stability theory, thegain scheduling approach is used to design controllers under which the closed-loopsystem is finite time stable.(iii) In a real production process, each controller has its own working limitation. Here,we introduce input saturation into the nonlinear Markov jump system. Then, by virtueof the ellipsoid invariant set, a continuous scheduling control is designed under whichthe closed-loop system is stable.(iv) Based on the system model, fault detection observer and filtering are used torealize the fault detection problem for nonlinear Markov jump systems. Then, thegain-scheduled fault detection observer and filter are designed under which both therobustness and sensitivities are guaranteed.(v) By using the polyhedral set to characterize the time-varying transition probabilities,a continuous gain-scheduled controller is designed for the non-homogeneousnonlinear Markov jump system. Our simulation results show that the proposedapproach is effective.(vi) Finally, we give a summary of the thesis and make some suggestions for futureresearch directions of the area. Some interesting problems, which are yet to besolved, are also given.
Keywords/Search Tags:Markov jump system, continuous gain scheduling, ellipsoid invariant set, polyhedral set, time-varying transition probability, finite time stable, input saturation, faultdetection observer and filtering, non-homogeneous jump, LMIs
PDF Full Text Request
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